Question

solve this question power and exponents chapter class 8​

Answer 1

Answer:

$\frac{(-1)}{12}$

Step-by-step explanation:

$\huge\frac{2^{3}*(-2)^{7} }{3*4^{6} }\\\\\huge\frac{1 * (-1) }{3*4}\\\\\huge\frac{-1}{12}$

Answer 2

$\huge\color{aqua}\ \boxed{\colorbox{black}{Answer : }}$

$Calculate \: 2 \: to \: the \: power \: of \: 3 \: \\ and \: get \: 8.$

$= > \frac{8( { - 2}^{7)} }{3 \times {4}^{6} }$

$Calculate \: -2 \: to \: the \: power \: of \: 7 \\ and \: get \: - 128.$

$= > \frac{8( { - 2)}^{7} }{3 \times {4}^{6} }$

$Multiply \: 8 \: and \: -128 \: to \: get \\ -1024.$

$= > \: \frac{ - 1024}{ \: \: \: 3 \times {4}^{6} }$

$Calculate \: 4 \: to \: the \: power \: of \: 6 \\ and \: get \: 4096.$

$= > \frac{ - 1024}{3 \times 4096}$

$Multiply \: 3 \: and \: 4096 \: to \: get \: 12288.$

$= > \frac{ - 1024}{12288}$

$Reduce \: the \: fraction \: \frac{-1024}{12288} \: to \\ lowest \: terms \: by \: extracting \: and \: \\ canceling \: out \: 1024.$

$= > \: -\frac{1}{12}$

$\color{green} \boxed{ \frac{-1}{2 ^ {2} \cdot 3} \approx -0.083333333}$